Algebraic limit cycles of degree 4 for quadratic systems
type: Item
instance of: scholarly article
title: Algebraic limit cycles of degree 4 for quadratic systems
zbMATH Open document ID: 1059.34021
author: Jaume Llibre
author: Jordi Sorolla
author: Javier Chavarriga
published in: Journal of Differential Equations
publication date: 2004-10-01T00:00:00Z
review text: This interesting paper contains basic concepts on algebraic curves and some results on polynomial differential systems having invariant algebraic curves. The main result is the proof that quadratic systems have exactly four different families of algebraic limit cycles of degree four.
reviewed by: Alexander Grin
Mathematics Subject Classification ID: 34C07
Mathematics Subject Classification ID: 34C05
zbMATH DE Number: 2104519
zbMATH Keywords: algebraic limit cycle
zbMATH Keywords: quadratic system
MaRDI profile type: Publication
full work available at URL: j.jde.2004.01.003
OpenAlex ID: W2041282938
cites work: Q3253995
cites work: Invariant algebraic curves and rational first integrals for planar polynomial vector fields
cites work: On a Result of Darboux
cites work: Invariant algebraic curves and conditions for a centre
cites work: Q3478745
cites work: Q5673763
cites work: Q4142070
cites work: Q3207371
cites work: Q5571530
cites work: Q4061267
cites work: Q3229831
cites work: Q5561179
cites work: Q5673758
cites work: Q3715459
DOI: 10.1016/J.JDE.2004.01.003
description: scientific article; zbMATH DE number 2104519